LCM of 327, 963, 671, 916, 732
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 327, 963, 671, 916, 732 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 327, 963, 671, 916, 732. So, keep reading to learn more.
Given numbers are 327,963,671,916,732
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 327,963,671,916,732 is 64516497012.
Find LCM of 327,963,671,916,732 with Prime Factorization
| 2 | 327, 963, 671, 916, 732 |
| 2 | 327, 963, 671, 458, 366 |
| 3 | 327, 963, 671, 229, 183 |
| 61 | 109, 321, 671, 229, 61 |
| 109, 321, 11, 229, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 61 x 109 x 321 x 11 x 229 x 1 = 64516497012
Therefore, the lowest common multiple of 327,963,671,916,732 is 64516497012.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
327 x 963 x 671 x 916 x 732 = 141678227438352
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
327 : 1, 3, 109, 327
963 : 1, 3, 9, 107, 321, 963
671 : 1, 11, 61, 671
916 : 1, 2, 4, 229, 458, 916
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,963,671,916,732, is 1.
Now, the common factors can be found like this.
327:3x 109
963:3x 3x 107
671:11x 61
916:2x 2x 229
732:2x 2x 3x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 61 = 2196
Therefore, the value for common factors is 2196.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 141678227438352/(1x2196)
LCM = 141678227438352/2196
LCM = 64516497012
Thus, we can understand that the LCM of 327,963,671,916,732 is 64516497012.
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FAQs on LCM of 327, 963, 671, 916, 732
1. What is the LCM of 327, 963, 671, 916, 732?
Answer: LCM of 327, 963, 671, 916, 732 is 64516497012.
2. How to calculate the LCM of 327, 963, 671, 916, 732?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 327, 963, 671, 916, 732.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.